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Find the sum of the distinct prime factors of 5005 + 6192 + 11823.

 Jun 14, 2024
 #1
avatar+1334 
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First, let's add up all 3 of the numbers we have. We get

\(5005 + 6192 + 11823=23020\)

 

Now, we want to find the prime factors of 23020. We know that 23020 is divisble by 10, so 2 and 5 are factors. 

 

\(23020/10=2302\)

 

2302 is divisble by 2, so we have \(2302/2=1151\)

 

1151 is actually prime, so we can stop here. 

 

This means that 23020 has 3 prime factors. \(1151, 2, 5\)

 

Adding all of these on, we get

\(1151+2+5=1158\)

 

So 1158 is our answer. 

 

Thanks! :)

 Jun 14, 2024

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